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Work Shown:
Let's find out how many smaller cubes are needed to go along the 2 & 2/3 inch side length of the bigger box.
First convert to an improper fraction
2 & 2/3 = 2 + 2/3 = 6/3 + 2/3 = 8/3
Divide this over the side length of the small cube to get
8/3 divided by 1/3 = (8/3)*(3/1) = 24/3 = 8
So we need exactly 8 small cubes along the 2 & 2/3 inch side length.
Let A = 8 so we can use this later.
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Repeat the same steps for the 3 & 1/3 inch side length
3 & 1/3 = 3 + 1/3 = 9/3 + 1/3 = 10/3
10/3 divided by 1/3 = (10/3)*(3/1) = 30/3 = 10
We need 10 cubes along the 3 & 1/3 inch side length.
Let B = 10.
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Repeat for the 2 & 1/3 inch side length
2 & 1/3 = 2 + 1/3 = 6 + 1/3 = 7/3
7/3 divided by 1/3 = (7/3)*(3/1) = 21/3 = 7
We need 7 cubes along the 2 & 1/3 inch side length
Let C = 7
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Multiply out the values of A,B,C to get
A*B*C = 8*10*7 = 560
This means we need 560 cubes that are each 1/3 of an inch along the the side to fill up a box that has dimensions of 2 & 2/3 inches by 3 & 1/3 inches by 2 & 1/3 inches.
Dana buys a new computer that cost $675. Sales tax is 7%. What is the total cost?
Answer:
722.25
Step-by-step explanation:
675x1.07
1 would be 675. Since there is a 7 percent sales tax, it would be 107 percent of the cost.
Answer:
$722.25
Step-by-step explanation:
Please give me the correct answer
D(-1,4) and E (3,-2),
Answer:
(1,1)
Step-by-step explanation:
With the midpoint formula, we're basically finding the average of the two variables, x and y.
Formula: [tex](\frac{x_{1} + {x_2} }{2}, \frac{_{1} + {y_2} }{2} )[/tex]
[tex](\frac{{-1} + {3}}{2} , \frac{{-2} + {4}}{2} )[/tex]
[tex](\frac{2}{2}, \frac{2}{2})[/tex]
(1,1)
can you help me with this please
Answer:
slope is 4/3 y intercept is -3
Step-by-step explanation:
there is no calculations needed
Bruce drove 360 miles in 6 hours. If he continues at a consistent speed, how many more hours would he need to drive another 300 miles?
Answer:
5 hours
Step-by-step explanation:
If he drove 360 miles in 6 hours, that means he drives 60 miles per hour.
300 divided by 60 is 5, so he will need to drive for 5 more hours
Answer:
5 hours
Step-by-step explanation:
Find his speed in miles per hour:
360/6
= 60
So, his speed is 60 mph
To find how many more hours he would have to drive another 300 miles, divide 300 by 60:
300/60
= 5
So, he would have to drive 5 hours
The high temperatures, in degrees Fahrenheit, of 10 U.S. Cities during a day in October are listed below. 72, 50, 54, 66, 58, 79, 54, 99, 40, 68 What is the range of the temperatures? A. 54°F B. 59°F C. 62°F D. 64°F
Answer: B. 59°F
Step-by-step explanation:
Range = Maximum - MInimum.
From the given temperatures, Maximum temperature = 99 degrees Fahrenheit
Minimum temperature = 40 degrees Fahrenheit
Range = Maximum temperature - Minimum temperature
i.e. Range =99-40 = 59 degrees Fahrenheit
Hence, the range of the temperatures = 59°F i.e. B is the correct option.
which statement is correct?
A company is billed $1,850 with a cash discount of 5% offered for payment within ten days. How much could it save?
Answer:
$92.5
Step-by-step explanation:
1,8500x.05=92.5
Answer:
1850 / 5% = 36000
Step-by-step explanation:
5x+6y=14 3x+5y=7
Help asap please
Answer:
133134676
Step-by-step explanation:
aasddkskskisisididid
(-8)• -2/3. Calculate the value of each expression
Answer:
The answer is 16/3.
Step-by-step explanation:
Answer: 16/3
Step-by-step explanation:
On last week's math test, 32 students received passing grades and 16 students did not
receive passing grades. What is the ratio of the number of students who passed the test to
the total number of students who took the test?
A
11 / 1
B
2/3
C
3/2
D
2/1
Answer:
Option B. The ratio of the number of students who passed the test to
the total number of students who took the test is 2/3
Step-by-step explanation:
Firstly, we have to find the total number of students who took the test, we can do that by adding the number of students who passed and the number of students who did not pass, so ...
32 + 16 = 48
Now we just write down the ratio between the number of students who passed the test and the total number of students who took the test. So we get
32/48
Now we just simplify and get...
2/3
1 1/3 divided by 2/3
What is the slope of the line that passes through the points (-6, 4) and (-6, 8)?
Answer:
Step-by-step explanation:
(8 - 4)/(-6 + 6)= 4/0= undefined
Answer:
Step-by-step explanation:
5
LOTS OF POINTS, PLEASE ANSWER
Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train A heading towards station A, and train B heading towards station B. Train A reaches station A after 4 h. Train B reaches station B after 3 1/2 h. Station A and Station B are 562.5 mi apart.
What are the rates of the trains?
Answer:
since the rate is the same for both trains, and we know that the distance train A travels plus the distance train B travels equals 562.5 miles, we can use the D(istance) = R(ate) * T(ime) formula to solve this.
Train A:
da = R * 4
Train B:
db = R * 3.5 (using 3.5 instead of 3 and 1/2)
Solve for R:
R * 4 + R * 3.5 = 562.5
7.5 * R = 562.5
R = 75
The trains are traveling at 75 miles per hour.
Step-by-step explanation:
Answer:
speed = distance / time
since they are moving in opposite direction, the time is the sum of the two times = 2 1/2 + 4 = 6 1/2 = 13/2
speed = 585/(13/2) = 90 miles per hour.
Step-by-step explanation:
I hope it helps.
Simplify -5(-3w - 5) - 20
Please help me thank u
Lowest common multiple of 28 and 144
Answer:
Lowest Common multiple -(L.C.M) is 1008.Step-by-step explanation:
2 ¦ 28, 1442 ¦ 14, 72 ¦ 7, 362×2×7×36 = 1008(L.C.M) =1008─━─━─━─━─━─━─━─━─━─━─━─
L.C.M = Lowest Common MultipleIn ΔEFG, f = 42 inches, e = 39 inches and ∠E=43°. Find all possible values of ∠F, to the nearest degree.\
Answer:
The angle F = 47.25°
Step-by-step explanation:
Step(i):-
Given that f =42inches and e = 39 inches
Given that ∠E = 43°
By using sine rule
[tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{C}{sinC} = 2R[/tex]
[tex]\frac{e}{sinE} = \frac{f}{sinF}[/tex]
⇒ [tex]\frac{39}{sin43} = \frac{42}{sinF}[/tex]
Cross multiplication , we get
⇒ 39 sin F = 42 × sin 43°
[tex]sin F = \frac{42 X 0.68199}{39}[/tex]
⇒ sin F = 0.734459
Step(ii):-
⇒ sin⁻¹ (sin F)= sin ⁻¹ ( 0.734459)
⇒ F = 47.25
The angle F = 47.25°
Can some one help pls!!!
Answer:
Slope= 2x y-intercept: 2Slope= -x y-intercept: 8Slope= -4x y-intercept: 12 Give brainlistWhich expression is equivalent to:
3a + 33
3(a + 33)
7a + 27 - 4a + 6
-3 (a + 11)
O 5a + 29 - 2a + 3
Answer:
It's 3 (a + 11)
Step-by-step explanation:
I don't know if you said that the 3 was a negative but if you did then don't choose my answer.
Answer:
The answer is 3(a+11)
Step-by-step explanation:
HELLLLPPPPP, will make brainiest :)
Answer:
no
Step-by-step explanation:
the area of the whole box is 17,280 cubic units because 24x24x30=17,280. If each cubic unit is .004 lbs then multiply 17,280 by .004. And it equals 69.12 lbs. And 69 is bigger than 30, so no he cant lift it.
if these two shapes are similar what is the measure of the missing length r?
r = ____ kilometers
Answer:
The answer is r=20
Step-by-step explanation:
[tex] \frac{81}{45} = \frac{36}{r} \\ r = \frac{36 \times 45}{81} = 20[/tex]
write a conditional statement that each venn diagram illustrates
Answer:
I hope you understand this points are my own points
Accordingly to the Internet which knows everything a good rule of thumb is to plan for 5 to 10% waste when buying carpet how did the estimate to do
Answer:
Not bad
Step-by-step explanation:
According to the internet, there are a number of factors to consider before estimating your waste percentage when buying carpets.
You may have to check the shape of your room, if it has multiple walls or if it is just complicated. For this kind you can estimate a 20% waste factor.
But for uncomplicated rooms having the same width as the carpet, the rule of thumb is to add a 10% waste factor to the square footage area.
Write 14 more then a number (pre algebra)
Answer:
14+n
Step-by-step explanation:
14 more means we are adding and a number means we dont have an specific number so we substitute with n
Hope this helps (:
Answer:
x+14
Step-by-step explanation:
hope it helps!
.069 rounded to the nearest hundredth
Answer:
I believe the answer is 0.07! I hope that helps
0.069 rounded off to the nearest hundredth is 0.69.
Please help me! 7th grade science!
A girl uses 60j of energy to move a box from the floor to a shelf. How much power does she use if it takes her 3 seconds to move the box?
15watts
20watts
90watts
180watts
Answer:
The answer is 20 watts
Step-by-step explanation:
power=joules/seconds
60/3=20
las tres quintas partes de una bandera son de color rojo, la cuarta parte es azul y el resto blanco ¿ que parte de la bandera es blanco ?
- 18°
3x - 5y = -22
MATHEMATICAL CONNECTIONS a. Write an equation that represents the sum of the angle measures of the triangle.
The equation is
= 180
b. Use your equation and the equation shown to find the values of x and y.
Answer:
use mathwsy
Step-by-step explanation:
Karen buys some new clothes for $89.40 + tax. The tax rate is 6.4%. What is her final price? *
Answer:
$95.10
Step-by-step explanation:
well take 89.40 and multiply by 6.4%. then add.
89.40 x 6.4% is 5.7. we can make out 5.7 to be $5.70.
$89.40 + $5.70 is 95.1 or $95.10